SOLUTION: okay I have a order of operations number question and I have to simplify. It's {{{(2/3)/(7/12)}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}} I need a step by step on how to do this, ple

Algebra ->  Algebra  -> Signed-numbers -> SOLUTION: okay I have a order of operations number question and I have to simplify. It's {{{(2/3)/(7/12)}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}} I need a step by step on how to do this, ple      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 222350: okay I have a order of operations number question and I have to simplify. It's
%282%2F3%29%2F%287%2F12%29%27-%272%2F7%27%2B%271%2F4 I need a step by step on how to do this, please
Answer by Edwin McCravy(6936) About Me  (Show Source):
You can put this solution on YOUR website!


%282%2F3%29%2F%287%2F12%29%27-%272%2F7%27%2B%271%2F4
Write the first term as a division:

2%2F3%27%F7%277%2F12%27-%272%2F7%27%2B%271%2F4

Invert the 7%2F12 and change the division sign before it
to a multiplication sign:

2%2F3%27%D7%2712%2F7%27-%272%2F7%27%2B%271%2F4

Cancel the 3 into the 12 getting 4

2%2Fcross%283%29%27%D7%27%28%27%27%5E4cross%2812%29%29%2F7%27-%272%2F7%27%2B%271%2F4

Multiply the 2 by the 4, getting 8, and put that over 7
for the first term:

8%2F7%27-%272%2F7%27%2B%271%2F4

Combine the first two terms 8%2F7-2%2F7 which gives 6%2F7

6%2F7%27%2B%271%2F4

The least common denominator of 7 and 4 is 28

So we multiply 6%2F7 by 4%2F4 and get 24%2F28
and we multiply 1%2F4 by 7%2F7 and get 7%2F28

24%2F28%27%2B%277%2F28

Now add the numerators getting 31 and place that
over the LCD of 28

31%2F28

If your teacher accepts improper fractions, leave it like
that, or change it to a mixed number

1%263%2F28

Edwin